TSTP Solution File: LAT306+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT306+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:29:16 EDT 2022
% Result : Theorem 13.51s 3.13s
% Output : CNFRefutation 13.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 37
% Syntax : Number of clauses : 104 ( 16 unt; 38 nHn; 101 RR)
% Number of literals : 332 ( 35 equ; 196 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 1 con; 0-3 aty)
% Number of variables : 126 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_183,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_183) ).
cnf(i_0_68,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_68) ).
cnf(i_0_198,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_198) ).
cnf(i_0_30,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_30) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_46) ).
cnf(i_0_129,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_129) ).
cnf(i_0_70,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_70) ).
cnf(i_0_69,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_69) ).
cnf(i_0_64,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_64) ).
cnf(i_0_193,plain,
( k2_filter_0(X1,k5_lattices(X1)) = k1_filter_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_193) ).
cnf(i_0_206,plain,
( k5_lattices(k1_lattice2(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_206) ).
cnf(i_0_203,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_203) ).
cnf(i_0_110,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_110) ).
cnf(i_0_39,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_39) ).
cnf(i_0_83,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_83) ).
cnf(i_0_179,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_179) ).
cnf(i_0_66,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_66) ).
cnf(i_0_65,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_65) ).
cnf(i_0_1,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k17_filter_2(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_1) ).
cnf(i_0_31,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_31) ).
cnf(i_0_3,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_5) ).
cnf(i_0_28,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_28) ).
cnf(i_0_53,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_53) ).
cnf(i_0_52,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_52) ).
cnf(i_0_6,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_6) ).
cnf(i_0_27,plain,
( k1_filter_0(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_27) ).
cnf(i_0_40,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_40) ).
cnf(i_0_47,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_47) ).
cnf(i_0_199,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_199) ).
cnf(i_0_189,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_189) ).
cnf(i_0_2,negated_conjecture,
v14_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_2) ).
cnf(i_0_188,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_188) ).
cnf(i_0_84,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_84) ).
cnf(i_0_49,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_49) ).
cnf(i_0_204,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jfvpwe8j/input.p',i_0_204) ).
cnf(c_0_244,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_183 ).
cnf(c_0_245,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
i_0_68 ).
cnf(c_0_246,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_198 ).
cnf(c_0_247,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_30 ).
cnf(c_0_248,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_46 ).
cnf(c_0_249,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
i_0_129 ).
cnf(c_0_250,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_251,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
i_0_70 ).
cnf(c_0_252,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
i_0_69 ).
cnf(c_0_253,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
i_0_64 ).
cnf(c_0_254,plain,
( k2_filter_0(X1,k5_lattices(X1)) = k1_filter_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
i_0_193 ).
cnf(c_0_255,plain,
( k5_lattices(k1_lattice2(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_206 ).
cnf(c_0_256,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(k1_lattice2(X1)) ),
i_0_203 ).
cnf(c_0_257,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_110 ).
cnf(c_0_258,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_39 ).
cnf(c_0_259,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_83 ).
cnf(c_0_260,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_179 ).
cnf(c_0_261,plain,
( k2_filter_2(k1_lattice2(X1),X2) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_262,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_248,c_0_247]) ).
cnf(c_0_263,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u2_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]),c_0_252]) ).
cnf(c_0_264,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_244,c_0_253]) ).
cnf(c_0_265,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
i_0_66 ).
cnf(c_0_266,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
i_0_65 ).
cnf(c_0_267,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k17_filter_2(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
i_0_1 ).
cnf(c_0_268,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_31 ).
cnf(c_0_269,negated_conjecture,
l3_lattices(esk1_0),
i_0_3 ).
cnf(c_0_270,negated_conjecture,
v10_lattices(esk1_0),
i_0_4 ).
cnf(c_0_271,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_5 ).
cnf(c_0_272,plain,
( k2_filter_0(k1_lattice2(X1),k6_lattices(X1)) = k1_filter_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_257]),c_0_258]),c_0_259]) ).
cnf(c_0_273,plain,
( k2_filter_0(k1_lattice2(X1),X2) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_257]),c_0_258]),c_0_262]),c_0_259]) ).
cnf(c_0_274,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_275,plain,
( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
i_0_28 ).
cnf(c_0_276,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_53 ).
cnf(c_0_277,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_52 ).
cnf(c_0_278,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]),c_0_270])]),c_0_271]) ).
cnf(c_0_279,plain,
( k18_filter_2(X1,k6_lattices(X1)) = k1_filter_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_280,plain,
( u1_struct_0(X1) = X2
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276]),c_0_277]) ).
cnf(c_0_281,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
i_0_6 ).
cnf(c_0_282,negated_conjecture,
( ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_filter_0(k1_lattice2(esk1_0)))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_269]),c_0_270])]),c_0_271]) ).
cnf(c_0_283,plain,
( k1_filter_0(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_27 ).
cnf(c_0_284,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| k1_lattice2(X1) != X2
| ~ v3_lattices(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_285,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_40 ).
cnf(c_0_286,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
i_0_47 ).
cnf(c_0_287,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_288,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_284]),c_0_258]),c_0_285]) ).
cnf(c_0_289,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(k1_lattice2(X1)))
| ~ l1_lattices(k1_lattice2(X1))
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_255]),c_0_259]) ).
cnf(c_0_290,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_199 ).
cnf(c_0_291,plain,
r1_tarski(X1,X1),
i_0_189 ).
cnf(c_0_292,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_269])]) ).
cnf(c_0_293,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(k1_lattice2(X1))
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_289,c_0_288]) ).
cnf(c_0_294,negated_conjecture,
v14_lattices(esk1_0),
i_0_2 ).
cnf(c_0_295,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_188 ).
cnf(c_0_296,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_297,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]),c_0_269]),c_0_270])]),c_0_271]),c_0_276]) ).
cnf(c_0_298,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_299,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_84 ).
cnf(c_0_300,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_49 ).
cnf(c_0_301,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ v13_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_296])]) ).
cnf(c_0_302,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
i_0_204 ).
cnf(c_0_303,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_304,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_294]),c_0_269]),c_0_270])]),c_0_271]) ).
cnf(c_0_305,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_303,c_0_276]) ).
cnf(c_0_306,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_257]),c_0_269]),c_0_270])]),c_0_271]) ).
cnf(c_0_307,plain,
( v3_struct_0(k1_lattice2(X1))
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_288]),c_0_258]) ).
cnf(c_0_308,plain,
( v3_struct_0(k1_lattice2(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_258]),c_0_269])]) ).
cnf(c_0_309,plain,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_269])]) ).
cnf(c_0_310,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_309]),c_0_269])]),c_0_271]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT306+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 16:03:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 13.51/3.13 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 13.51/3.13 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 39; version: 991; iters: 150)
% 13.51/3.13 # Preprocessing time : 0.877 s
% 13.51/3.13
% 13.51/3.13 # Proof found!
% 13.51/3.13 # SZS status Theorem
% 13.51/3.13 # SZS output start CNFRefutation
% See solution above
% 13.51/3.13 # Training examples: 0 positive, 0 negative
% 13.51/3.13
% 13.51/3.13 # -------------------------------------------------
% 13.51/3.13 # User time : 0.800 s
% 13.51/3.13 # System time : 0.117 s
% 13.51/3.13 # Total time : 0.917 s
% 13.51/3.13 # ...preprocessing : 0.877 s
% 13.51/3.13 # ...main loop : 0.039 s
% 13.51/3.13 # Maximum resident set size: 167860 pages
% 13.51/3.13
%------------------------------------------------------------------------------